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41531040 = 25325151191
BaseRepresentation
bin1001111001101…
…1011010100000
32220010222212200
42132123122200
541112443130
64042053200
71013002515
oct236333240
986128780
1041531040
1121496981
1211aaa200
1387b16a5
14573130c
1539a5760
hex279b6a0

41531040 has 144 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 10944000.

The previous prime is 41531023. The next prime is 41531069. The reversal of 41531040 is 4013514.

It is a happy number.

41531040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217345 + ... + 217535.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 241531040 is an apocalyptic number.

41531040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

41531040 is an abundant number, since it is smaller than the sum of its proper divisors (101879136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41531040 is a wasteful number, since it uses less digits than its factorization.

41531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 41531040 is about 6444.4580842768. The cubic root of 41531040 is about 346.3040751908.

Adding to 41531040 its reverse (4013514), we get a palindrome (45544554).

The spelling of 41531040 in words is "forty-one million, five hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 151 160 180 191 240 288 302 360 382 453 480 573 604 720 755 764 906 955 1146 1208 1359 1440 1510 1528 1719 1812 1910 2265 2292 2416 2718 2865 3020 3056 3438 3624 3820 4530 4584 4832 5436 5730 6040 6112 6795 6876 7248 7640 8595 9060 9168 10872 11460 12080 13590 13752 14496 15280 17190 18120 18336 21744 22920 24160 27180 27504 28841 30560 34380 36240 43488 45840 54360 55008 57682 68760 72480 86523 91680 108720 115364 137520 144205 173046 217440 230728 259569 275040 288410 346092 432615 461456 519138 576820 692184 865230 922912 1038276 1153640 1297845 1384368 1730460 2076552 2307280 2595690 2768736 3460920 4153104 4614560 5191380 6921840 8306208 10382760 13843680 20765520 41531040